On boundary conditions for the numerical simulation of wave propagation
type: Item
instance of: scholarly article
title: On boundary conditions for the numerical simulation of wave propagation
zbMATH Open document ID: 0619.65084
DOI: 10.1016/0168-9274(85)90010-8
author: Ludwig Wagatha
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: We are concerned with constructing a (nonlocal) solution operator for general difference schemes that allows to derive nonreflecting boundary conditions. We will apply this solution operator to the special cases of the 5-point star for the approximation of the wave equation and the Lax- Wendroff scheme and construct the corresponding absorbing boundary conditions. In the third section numerical results are given. For the wave equations we get less reflected energy than with conditions of Engquist-Majda type while for the shallow water equations good absorption properties can be achieved only at the cost of high storage and computing time requirements.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 4005507
zbMATH Keywords: numerical simulation of wave propagation
zbMATH Keywords: nonreflecting boundary conditions
zbMATH Keywords: solution operator
zbMATH Keywords: wave equation
zbMATH Keywords: Lax-Wendroff scheme
zbMATH Keywords: numerical results
zbMATH Keywords: shallow water equations
MaRDI profile type: Publication
full work available at URL: 0168-9274(85)90010-8
OpenAlex ID: W2027260896
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description: scientific article; zbMATH DE number 4005507